well, assuming humidity is less than 100% (it doesn't spontaneously rain your basement) and the computer will be warmer than ambient temperature (which it will) you shouldn't have a problem. just don't use a peltier or other active cooling. The only thing I'd worry about is if you leave it off overnight, you may get condensation in the morning; dew inside your computer. Which probably wouldn't be good. not sure what to do about that.
I moved from the UK to the Middle East some months ago.
The humidity here is often 80% or higher.
I've had no problems with my PC's other than with overclocking. The (much) higher ambient temperature means I have to run all three at stock frequency, bah.
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